Asked by Jared
The quadratic equation x^2+2x−8=0 can be rewritten as (x+4)(x−2)=0.
What is the multiplicity of the root x=−4?
A.The multiplicity of the root is 1.
B.The multiplicity of the root is 3.
C.The multiplicity of the root is 2.
D.The multiplicity of the root is 4.
can someone please help I am stuck on this question....
Answers
Answered by
oobleck
a quadratic only has two roots
You have two factors, so there are two roots, each of multiplicity 1.
If h is a root of multiplicity n, then (x-h)^n is a factor of the polynomial.
(x+4) = (x+4)^1 so -4 has multiplicity 1.
If you were stuck on this, you really need to study the section on your text, or google the topic for examples.
You have two factors, so there are two roots, each of multiplicity 1.
If h is a root of multiplicity n, then (x-h)^n is a factor of the polynomial.
(x+4) = (x+4)^1 so -4 has multiplicity 1.
If you were stuck on this, you really need to study the section on your text, or google the topic for examples.
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